2. 外语
  3. Both x and y are positive integers, is xy an even number? (1)x+y is an odd integer. (2) is an even integer.

Both x and y are positive integers, is xy an even number? (1)x+y is an odd integer. (2) is an even integer.

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问题 Both x and y are positive integers, is xy an even number?
(1)x+y is an odd integer.
(2) is an even integer.
选项 A、Statement (1) ALONE is sufficient, but statement (41) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (40) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (41) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(41)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
答案D
解析 对于Statement (1)，x+y是奇数，那么两者必然是一奇一偶，因此xy是偶数。对于Statement (2)，是偶数，那么平方之后，xy还是偶数。因此答案为D。
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